Amplification of quadratic Hamiltonians
- Autores
- Arenz, Christian; Bondar, Denys I.; Burgarth, Daniel; Cormick, Maria Cecilia; Rabitz, Herschel
- Año de publicación
- 2020
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- Speeding up the dynamics of a quantum system is of paramount importance for quantum technologies. However, in finite dimensions and without full knowledge of the details of the system, it is easily shown to be impossible. In contrast we show that continuous variable systems described by a certain class of quadratic Hamiltonians can be sped up without such detailed knowledge. We call the resultant procedure Hamiltonian amplification (HA). The HA method relies on the application of local squeezing operations allowing for amplifying even unknown or noisy couplings and frequencies by acting on individual modes. Furthermore, we show how to combine HA with dynamical decoupling to achieve amplified Hamiltonians that are free from environmental noise. Finally, we illustrate a significant reduction in gate times of cavity resonator qubits as one potential use of HA.
Fil: Arenz, Christian. University of Princeton; Estados Unidos
Fil: Bondar, Denys I.. University of Tulane; Estados Unidos
Fil: Burgarth, Daniel. Macquarie University; Australia
Fil: Cormick, Maria Cecilia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Universidad Nacional de Córdoba; Argentina
Fil: Rabitz, Herschel. University of Princeton; Estados Unidos - Materia
-
QUANTUM CONTROL
QUADRATIC HAMILTONIANS
EVOLUTION SPEED
SQUEEZING - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/137387
Ver los metadatos del registro completo
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Amplification of quadratic HamiltoniansArenz, ChristianBondar, Denys I.Burgarth, DanielCormick, Maria CeciliaRabitz, HerschelQUANTUM CONTROLQUADRATIC HAMILTONIANSEVOLUTION SPEEDSQUEEZINGhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Speeding up the dynamics of a quantum system is of paramount importance for quantum technologies. However, in finite dimensions and without full knowledge of the details of the system, it is easily shown to be impossible. In contrast we show that continuous variable systems described by a certain class of quadratic Hamiltonians can be sped up without such detailed knowledge. We call the resultant procedure Hamiltonian amplification (HA). The HA method relies on the application of local squeezing operations allowing for amplifying even unknown or noisy couplings and frequencies by acting on individual modes. Furthermore, we show how to combine HA with dynamical decoupling to achieve amplified Hamiltonians that are free from environmental noise. Finally, we illustrate a significant reduction in gate times of cavity resonator qubits as one potential use of HA.Fil: Arenz, Christian. University of Princeton; Estados UnidosFil: Bondar, Denys I.. University of Tulane; Estados UnidosFil: Burgarth, Daniel. Macquarie University; AustraliaFil: Cormick, Maria Cecilia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Universidad Nacional de Córdoba; ArgentinaFil: Rabitz, Herschel. University of Princeton; Estados UnidosVerein zur Forderung des Open Access Publizierens in den Quantenwissenschaften2020-05-25info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/137387Arenz, Christian; Bondar, Denys I.; Burgarth, Daniel; Cormick, Maria Cecilia; Rabitz, Herschel; Amplification of quadratic Hamiltonians; Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften; Quantum; 4; 25-5-2020; 1-132521-327XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://quantum-journal.org/papers/q-2020-05-25-271/info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1806.00444info:eu-repo/semantics/altIdentifier/doi/10.22331/q-2020-05-25-271info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:34:05Zoai:ri.conicet.gov.ar:11336/137387instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:34:05.978CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
Amplification of quadratic Hamiltonians |
title |
Amplification of quadratic Hamiltonians |
spellingShingle |
Amplification of quadratic Hamiltonians Arenz, Christian QUANTUM CONTROL QUADRATIC HAMILTONIANS EVOLUTION SPEED SQUEEZING |
title_short |
Amplification of quadratic Hamiltonians |
title_full |
Amplification of quadratic Hamiltonians |
title_fullStr |
Amplification of quadratic Hamiltonians |
title_full_unstemmed |
Amplification of quadratic Hamiltonians |
title_sort |
Amplification of quadratic Hamiltonians |
dc.creator.none.fl_str_mv |
Arenz, Christian Bondar, Denys I. Burgarth, Daniel Cormick, Maria Cecilia Rabitz, Herschel |
author |
Arenz, Christian |
author_facet |
Arenz, Christian Bondar, Denys I. Burgarth, Daniel Cormick, Maria Cecilia Rabitz, Herschel |
author_role |
author |
author2 |
Bondar, Denys I. Burgarth, Daniel Cormick, Maria Cecilia Rabitz, Herschel |
author2_role |
author author author author |
dc.subject.none.fl_str_mv |
QUANTUM CONTROL QUADRATIC HAMILTONIANS EVOLUTION SPEED SQUEEZING |
topic |
QUANTUM CONTROL QUADRATIC HAMILTONIANS EVOLUTION SPEED SQUEEZING |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
Speeding up the dynamics of a quantum system is of paramount importance for quantum technologies. However, in finite dimensions and without full knowledge of the details of the system, it is easily shown to be impossible. In contrast we show that continuous variable systems described by a certain class of quadratic Hamiltonians can be sped up without such detailed knowledge. We call the resultant procedure Hamiltonian amplification (HA). The HA method relies on the application of local squeezing operations allowing for amplifying even unknown or noisy couplings and frequencies by acting on individual modes. Furthermore, we show how to combine HA with dynamical decoupling to achieve amplified Hamiltonians that are free from environmental noise. Finally, we illustrate a significant reduction in gate times of cavity resonator qubits as one potential use of HA. Fil: Arenz, Christian. University of Princeton; Estados Unidos Fil: Bondar, Denys I.. University of Tulane; Estados Unidos Fil: Burgarth, Daniel. Macquarie University; Australia Fil: Cormick, Maria Cecilia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina. Universidad Nacional de Córdoba; Argentina Fil: Rabitz, Herschel. University of Princeton; Estados Unidos |
description |
Speeding up the dynamics of a quantum system is of paramount importance for quantum technologies. However, in finite dimensions and without full knowledge of the details of the system, it is easily shown to be impossible. In contrast we show that continuous variable systems described by a certain class of quadratic Hamiltonians can be sped up without such detailed knowledge. We call the resultant procedure Hamiltonian amplification (HA). The HA method relies on the application of local squeezing operations allowing for amplifying even unknown or noisy couplings and frequencies by acting on individual modes. Furthermore, we show how to combine HA with dynamical decoupling to achieve amplified Hamiltonians that are free from environmental noise. Finally, we illustrate a significant reduction in gate times of cavity resonator qubits as one potential use of HA. |
publishDate |
2020 |
dc.date.none.fl_str_mv |
2020-05-25 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
format |
article |
status_str |
publishedVersion |
dc.identifier.none.fl_str_mv |
http://hdl.handle.net/11336/137387 Arenz, Christian; Bondar, Denys I.; Burgarth, Daniel; Cormick, Maria Cecilia; Rabitz, Herschel; Amplification of quadratic Hamiltonians; Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften; Quantum; 4; 25-5-2020; 1-13 2521-327X CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/137387 |
identifier_str_mv |
Arenz, Christian; Bondar, Denys I.; Burgarth, Daniel; Cormick, Maria Cecilia; Rabitz, Herschel; Amplification of quadratic Hamiltonians; Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften; Quantum; 4; 25-5-2020; 1-13 2521-327X CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/url/https://quantum-journal.org/papers/q-2020-05-25-271/ info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1806.00444 info:eu-repo/semantics/altIdentifier/doi/10.22331/q-2020-05-25-271 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
dc.format.none.fl_str_mv |
application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften |
publisher.none.fl_str_mv |
Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften |
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reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) |
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CONICET Digital (CONICET) |
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Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.mail.fl_str_mv |
dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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